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Finding the Fourth Proportional to 13,696.50, 18,901.18 and 7,729.44

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Solution

The fourth proportional to 13,696.50, 18,901.18 and 7,729.44 is: 10,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.50 : 18,901.18 = 7,729.44 : x
  2. Step 2: Convert to fraction form
    13,696.50/18,901.18 = 7,729.44/x
  3. Step 3: Cross multiply
    13,696.50x = 18,901.18 × 7,729.44
  4. Step 4: Simplify right side
    13,696.50x = 146,095,536.74
  5. Step 5: Solve for x
    x = 146,095,536.74/13,696.50
  6. Step 6: Final answer
    x = 10,666.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.